{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting Ternary Phase Diagrams and Using Triangular Axes\n",
    "\n",
    "Often in thermodynamics, it is useful to use a two dimensional plot to express equilibria in a three component system with fixed potentials. The `ternplot` API provides a straightforward way to calculate equilibria and generate ternary phase diagrams. Alternatively, if you already have an equilibrium calculation, you can directly import and use `eqplot`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ternplot\n",
    "\n",
    "Here we well use the ternplot API to plot an isothermal section of the Al-Cu-Y system from the thermodynamic database found at the [NIST CALPHAD assessments](http://hdl.handle.net/11115/101) assessed by Zhang et al. [Calphad 35 (2011)](https://doi.org/10.1016/j.calphad.2011.09.008). Note that we have commented out the Cu6Y phase in the TDB because it utilized the Cu2 species. Species are not currently supported in pycalphad."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.TriangularAxesSubplot at 0x117fcd5f8>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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yAHsArzHGSgFcIqLWAKYR0SeMP8zwyHJzWxaTm1sq3Dx1uaQqJ2eW2UbvxsTE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V6FmL31WLHihx9hv+dCp07QtevpQeTmQl4elWFheJSUoKuyCY517AjOTujUKeSRw+waAH33gK7P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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111975d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from pycalphad import Database, ternplot\n",
    "from pycalphad import variables as v\n",
    "\n",
    "db_al_cu_y = Database('Al-Cu-Y.tdb')\n",
    "comps = ['AL', 'CU', 'Y', 'VA']\n",
    "phases = list(db_al_cu_y.phases.keys())\n",
    "conds = {v.T: 830, v.P:101325, v.X('AL'): (0,1,0.015), v.X('Y'): (0,1,0.015)}\n",
    "\n",
    "ternplot(db_al_cu_y, comps, phases, conds, x=v.X('AL'), y=v.X('Y'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## triangular projection\n",
    "\n",
    "Importing the `pycalphad.plot.triangular` module automatically registers a `'triangular'` projection in matplotlib for you to use in custom plots, such as liquidus projections or contour plots of custom property models.\n",
    "\n",
    "Here we will use pycalphad to calculate the mixing enthalpy of the FCC phase in our Al-Cu-Y system. Then we will the triangular projection to plot the calculated points as a colored scatterplot on the triangular axes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x117110588>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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GtHypxLKioBibwDZshYmN0O2GWt0Ku2+6aYuCYVlZINqqBRu/gn0SRFaoX9fb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\nDJAqS0gLr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      "text/plain": [
       "<matplotlib.figure.Figure at 0x117f6b588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from pycalphad.plot import triangular\n",
    "from pycalphad import calculate\n",
    "\n",
    "# some sample data, these could be from an equilibrium calculation or a property model.\n",
    "# here we are calculating the mixing enthlapy of the FCC_A1 phase at 830K. \n",
    "c = calculate(db_al_cu_y, comps, 'FCC_A1', output='HM_MIX', T=830, P=101325, pdens=5000)\n",
    "\n",
    "# Here we are getting the values from our plot. \n",
    "xs = c.X.values[0, 0, :, 0]  # 1D array of Al compositions\n",
    "ys = c.X.values[0, 0, :, 1]  # 1D array of Cu compositions\n",
    "zs = c.HM_MIX.values[0,0, :]  # 1D array of mixing enthalpies at these compositions\n",
    "\n",
    "# when we imported the pycalphad.plot.triangular module, it made the 'triangular' projection available for us to use.\n",
    "fig = plt.figure()\n",
    "ax = fig.gca(projection='triangular')\n",
    "ax.scatter(xs, ys, c=c.HM_MIX.values[0,0, :], \n",
    "           cmap='coolwarm', \n",
    "           linewidth=0.0)\n",
    "\n",
    "# label the figure\n",
    "ax.set_xlabel('X (AL)')\n",
    "ax.set_ylabel('X (CU)')\n",
    "ax.yaxis.label.set_rotation(60)  # rotate ylabel\n",
    "ax.yaxis.set_label_coords(x=0.12, y=0.5)  # move the label to a pleasing position\n",
    "ax.set_title('AL-CU-Y HM_MIX at 830K')\n",
    "\n",
    "# set up the colorbar\n",
    "cm = plt.cm.ScalarMappable(cmap='coolwarm')\n",
    "cm.set_array(zs)\n",
    "fig.colorbar(cm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
